WORST_CASE(?,O(n^3))

Solution:
---------

  "*" :: ["A"(4, 0, 0) x "A"(0, 0, 0)] -(0)-> "A"(7, 4, 11)
  "0" :: [] -(0)-> "A"(9, 3, 3)
  "0" :: [] -(0)-> "A"(14, 6, 14)
  "fac" :: ["A"(6, 3, 3)] -(2)-> "A"(7, 0, 7)
  "p" :: ["A"(1, 8, 3)] -(1)-> "A"(6, 3, 3)
  "s" :: ["A"(9, 3, 3)] -(6)-> "A"(6, 3, 3)
  "s" :: ["A"(9, 3, 3)] -(1)-> "A"(1, 8, 3)
  "s" :: ["A"(12, 3, 3)] -(9)-> "A"(9, 3, 3)
  "s" :: ["A"(0, 0, 0)] -(0)-> "A"(0, 0, 0)
  "s" :: ["A"(12, 3, 3)] -(3)-> "A"(3, 9, 3)


Cost Free Signatures:
---------------------

  "*" :: ["A"_cf(1, 0, 0) x "A"_cf(0, 0, 0)] -(0)-> "A"_cf(11, 1, 12)
  "0" :: [] -(0)-> "A"_cf(0, 0, 0)
  "0" :: [] -(0)-> "A"_cf(15, 0, 15)
  "0" :: [] -(0)-> "A"_cf(3, 0, 0)
  "0" :: [] -(0)-> "A"_cf(7, 11, 0)
  "fac" :: ["A"_cf(0, 0, 0)] -(0)-> "A"_cf(6, 0, 7)
  "p" :: ["A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0)
  "p" :: ["A"_cf(2, 1, 0)] -(0)-> "A"_cf(3, 0, 0)
  "s" :: ["A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0)
  "s" :: ["A"_cf(3, 0, 0)] -(2)-> "A"_cf(2, 1, 0)
  "s" :: ["A"_cf(3, 0, 0)] -(3)-> "A"_cf(3, 0, 0)


Base Constructors:
------------------
  "\"*\"_A" :: ["A"(0, 0, 0) x "A"(0, 0, 0)] -(0)-> "A"(1, 0, 0)
  "\"*\"_A" :: ["A"(1, 0, 0) x "A"(0, 0, 0)] -(0)-> "A"(0, 1, 0)
  "\"*\"_A" :: ["A"(0, 0, 0) x "A"(0, 0, 0)] -(0)-> "A"(0, 0, 1)
  "\"0\"_A" :: [] -(0)-> "A"(1, 0, 0)
  "\"0\"_A" :: [] -(0)-> "A"(0, 1, 0)
  "\"0\"_A" :: [] -(0)-> "A"(0, 0, 1)
  "\"s\"_A" :: ["A"(1, 0, 0)] -(1)-> "A"(1, 0, 0)
  "\"s\"_A" :: ["A"(1, 0, 0)] -(0)-> "A"(0, 1, 0)
  "\"s\"_A" :: ["A"(0, 1, 1)] -(0)-> "A"(0, 0, 1)